Al-Khwarizmi
Applied Mathematics Webinar 

Next talk: October 21, 2025. 

Tuesday - 5:00 pm (KSA)- (2:00 p.m GMT) 

Zoom link: https://ksu-hub.zoom.us/j/97753107489

Speaker:  Dániel Bezdány, Bolyai Institute, University of Szeged, Aradi vertanuk tere  1, H–6720 Szeged, Hungary. 

Title: Asymptotic behavior of some strongly critical decomposable 3-type Galton–Watson processes with immigration. 

Abstract: We study the asymptotic behavior of a critical decomposable 3-type Galton-Watson processes with immigration whose offspring mean matrix is triangular with diagonal entries 1. Under second or fourth order moment assumptions on the offspring and immigration distributions, we establish a functional limit theorem for the sequence of appropriately scaled

processes. The coordinate processes of the limit process may be described as independent squared Bessel processes and iterated integral processes of their linear combinations. In the proofs we use limit theorems for martingale differences towards a diffusion process due to Ispány and Pap (2010). 

Based on a joint work with Mátyás Barczy,

available at ArXiv: https://arxiv.org/abs/2406.09852.